International Journal of Nonlinear Analysis and Applications

Numerical solution of second order IVP by fuzzy transform method

Document Type : Research Paper

Authors

1 Department of Mathematics, Science of Mathematics Faculty, University of Mazandaran, Babolsar, Iran.

2 Faculty of engineering and natural sciences, Bahcesehir university, Istanbul, Turkey.

Abstract

In this paper, we employed fuzzy transforms to present a new method for solving the problem through second-order fuzzy initial value. The advantage of the fuzzy transform method is that, unlike other methods (e.g. high-order fuzzy Taylor series), it does not require any higher-order derivative calculation, thus reducing computational cost. In two examples, the results of the newly proposed method were examined against several conventional methods, indicating the more desirable performance of the new method.

Keywords

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International Journal of Nonlinear Analysis and Applications
Volume 12, Issue 1
May 2021
Pages 143-156
  • Receive Date: 02 November 2020
  • Revise Date: 05 December 2020
  • Accept Date: 12 December 2020